Telling the cops they did something stupid that one of their younger brothers/sisters did, like, I dunno, inappropriate graffiti in a bathroom stall, and begs that it was their fault because they were in charge even though it wasn't even much of a crime so the police come and maybe not arrest you, but give you the card for 58382 hours of community service

Given that your type is ENTP, I'm forced to assume that you started an argument with a corrupt politician. As you prod more and more, he becomes concerned about what information you might reveal–information you obtained simply through deduction. He can't have that, so he hires a hitman, kills somebody who's position he desires, and frames you. The police arrest you, and the politician sways things so that he is elected into the previously vacant position... and one step closer to ruling the world.

Your nemesis winning in a nose-to-nose battle with you over an important job title. Saying you hate this fucker is an understatement. So is saying you want them dead. You want more than that, you want them to suffer and never even find something to dull the pain. You crawl into their office and whack off all over their important papers while they're on break. You strategically humiliate them but nobody knows it was you, you're hiding in the shadows being all sly this whole time. To finish off your quest for vengeance, you track down their house and stay under the porch for a night, looking through the window, figuring out a way to get in and cause even more trouble than before, but get caught when their 40-y/o son finds you staring through the basement window.

Running around naked madly, black and yellow paint smeared across your chest in stripes as you pee on everyone who looks into your eyes, excusing your own behaviour by shouting: "I'm King of the Bees!"

Nothing really. Someone probably got worried about not having seen or heard from you for days and called the police. They found you sitting infront of your laptop, having forgotton that something like the outer world even existed. Arrested you anyways 'cause 5s are always suspicious. Classic 459.